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This image shows a practice page from a geometry textbook focused on congruent triangles. I'll address some of the exercises here.

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### Solutions and Explanations:

#### Exercises 3-6
Given: \( \triangle XYZ \cong \triangle MNL \).

To complete these statements, match corresponding parts based on congruence:
1. **\( m\angle Y = m\angle N \)**
   - Since \( \triangle XYZ \cong \triangle MNL \), corresponding angles \( Y \) and \( N \) are equal.
2. **\( m\angle Z = m\angle L \)**
   - Corresponding angles \( Z \) and \( L \) are equal.
3. **\( XY = MN \)**
   - Corresponding sides \( XY \) and \( MN \) are congruent.

#### Exercises 7-8
To find the values of \( x \) and \( y \), we use the information provided in the congruent triangles \( \triangle ABCD \cong \triangle EFGH \) (Exercise 7) and \( \triangle MNP \cong \triangle TUS \) (Exercise 8).

1. **Exercise 7**:
   - \( \angle B = 135^\circ \) and \( \angle D = 28^\circ \) correspond to angles in the other triangle.
   - Set up equations for sides or angles as needed to solve for \( x \) and \( y \).

2. **Exercise 8**:
   - Similarly, use congruent angles \( \angle N = 142^\circ \) and \( \angle P = 24^\circ \), and the expressions for sides (e.g., \( 2x - y \) cm).

#### Exercise 13-14
- These involve solving for angle measures in given triangles.

#### Exercise 15 and 16 (Proofs)
- **Exercise 15**: Prove \( \triangle AEB \cong \triangle CED \) using the given information and the concept of congruent triangles.
- **Exercise 16**: Another proof, likely involving triangle congruence based on shared parts and given properties.

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Would you like further details on a specific exercise or a complete solution for one of these?

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### Related Questions
1. What properties determine if two triangles are congruent?
2. How can you identify corresponding parts of congruent triangles?
3. What methods are commonly used to prove triangle congruence?
4. How does knowing midpoint relationships help in proving congruence?
5. What strategies can simplify solving for variables in congruent triangles?

### Tip
Always label corresponding parts of congruent triangles to avoid mistakes in solving for angles and sides.

Practice exercises on congruent triangles from a geometry textbook. The tasks include identifying corresponding parts of congruent triangles, solving for unknown values, and proving congruence statements.

Explore various exercises on congruent triangles, including identifying corresponding parts, solving for unknown variables, and proving congruence with triangle properties and theorems. Suitable for high school students.

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